Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Quotient Rulewith ƒ(x) = x8/x3

Q: Find the second order derivative of f(x) exsinxcos2x

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Q: Find the derivative by the limit process. f(x) = 11 – x2

A: We have to find the derivative by the limit process where f(x) = 11 – x2.

Q: FIND THE DERIVATIVE BY THE LIMIT PROČESS OFF(x) = Vx+2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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Q: Find the derivative of: f(x) = (x3 + 2) In(x)

A: Consider the function

Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: Determine the derivative of f(x) = ( In x )6 with respect to x. f'(x) =

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Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: find the derivative of f (x) at the designated value of x. f (x) = x3 at x = 12

A: The derivative of a function can be calculated by differentiating both sides of the function with…

Q: By using the limit definition of a derivative, determine the derivative of f(x) = 1/x at x  = 2

A: By using the limit definition of a derivative, determine the derivative of f as shown below:…

Q: Develop a general rule for the nth derivative of xf(x), where f is a differentiable function of x.

A: Given: the function xfx, where f is a differentiable function of x.

Q: Find the derivative of the function by the limit process. h(s) = −2 (square root of x)

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Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: Find the derivative by the limit process. f(x) = 14-x²

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Q: find the derivative of f (x) at the designated value of x. f (x) = x + 11 at x = 0

A: To find the derivative of f(x)=x+11 at x=0 Solution: f(x)=x+11 Differentiating both sides w.r.t x we…

Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

A: To find- derivative of the given function using definition  of limit.

Q: f(x) = x In x

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Q: Find the derivative of the function by the limit process.

A: Given: fx=x3-12x

Q: Find the derivative using the limit process of f(x)=x² + 3x f(x)=x² +3x

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Q: Find the derivative by the limit process. f(x) = 10 – x2 %3D

A: We know that the derivative of a function fx is given by:f'x=limh→0fx+h-fxh

Q: Find the derivative with respect to x of f(x) = V5x + 4. f'(x) =

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Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

Q: Find the derivative of the function by the limit process. f(x) = 7x − 3

A: GIven function: f(x) = 7x − 3 Formula used:

Q: Find y' if y = 5x + 2 using the limit definition of derivative.

A: Given that  y=5x+2

Q: Find the derivative of the function by the limit process. f(x) = x3 − 12x

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Q: Find the derivative of the function. y = x2 In x2

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Q: Find the derivative of the function f(x) = VI+4 using the limit process.

A: we have to find the derivative

Q: Find The derivaTive of f(X) = -x²+ 3X + 2 Using the de finiTion of the derivative

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 3

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: Calculate the derivative of the function below using the quotient rule. 28 y = Va + 8x7

A: We have given a function and we have to find its derivative using quotient rule.

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: Find the derivative by the limit process. f(x) = 11-x²

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Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

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Q: Find the derivative by the limit process. f(x) = 13 – x2

A: Given that: f(x)=13-x2

Q: Find the derivative by the limit process. f(x) = 15 – x²

A: Givenf(x)=15-x2Step -1From the definition of derivativef'(x)=lim∆x→0f(x+∆x)-f(x)∆x

Q: Given f(x) = ||+x, at which point does the derivative not exist? Mathematically show that the…

A: According to question given that f(x)=|x|+x"A function f is said to be differentiable at a if  f'(a)…

Q: Find the derivative of the function. x + 4 f(x) = In X – 4 | f'(x) =

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Q: Find the derivative of f(x)=x^1/2 at x=1/144

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Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

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Q: Find the derivative..thefallowing.vecten. Fumctens. a.. -1 ..... ...

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Q: Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Product Rule withƒ(x) = x2…

A: We have to find the derivative of the function: fx=x5 We have to find same derivative with product…

Q: find the derivative by the limit process. f(x)=14-x^2

A: Here we find the derivative by the limit process fx=14-x2

Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: Find the derivative of the function by the limit process. f(x) = 5 − 2/3 x

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Q: Calculate the derivative of the function below using the quotient rule. y = 210 √x + 5x8 f(x) = and…

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Q: Find the derivative of f(x) = 5x2 + x using the limit definition of the derivative.

A: We have to find the derivative of function using limit definition of derivative where function is:…